A small conducting sphere of radius r is lying concentrically inside a bigger hollow conducting sphere of radius R . The bigger and smaller spheres are charged with Q and q(Q>q) and are insulated from each other. The potential difference between the spheres will be

Step-by-step solution

According to given situation, potential at the surface of small conducting sphere of radius r , V_ r = k q r + k Q R Potential at the surface of bigger conducting sphere of radius R , V_ R = k q R + k Q R Potential difference between the spheres is given as aligned V_ r -V_ R &= k q r + k Q R - k q R - k Q R &= k q r - k q R =k ( q r - q R ) &= 1 4 ₀ [ q r - q R ] aligned